Multiple choice

Amar drew a square. He then erased it and drew a second square whose sides were $3$ times the sides of the first square. By what percent was the area of the square increased?

  1. $200\%$
  2. $400\%$
  3. $600\%$
  4. $800\%$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Original area = s^2. New side = 3s, so new area = (3s)^2 = 9s^2. Increase = 9s^2 - s^2 = 8s^2. Percent increase = (8s^2 / s^2) * 100 = 800%.

AI explanation

The area of a square is proportional to the square of its side length. If the side length becomes 3 times the original, the new area becomes 3 squared, or 9 times the original area. Since the area increases from 1 to 9, the increase is 8 times the original area, which equals an 800% increase.

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